414251466628464 has 120 divisors (see below), whose sum is σ = 1199365341174000. Its totient is φ = 133315671121920.

The previous prime is 414251466628457. The next prime is 414251466628487. The reversal of 414251466628464 is 464826664152414.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81732187 + ... + 86652485.

It is an arithmetic number, because the mean of its divisors is an integer number (9994711176450).

Almost surely, 2^{414251466628464} is an apocalyptic number.

It is an amenable number.

414251466628464 is an abundant number, since it is smaller than the sum of its proper divisors (785113874545536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414251466628464 is a wasteful number, since it uses less digits than its factorization.

414251466628464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4940503 (or 4940494 counting only the distinct ones).

The product of its digits is 212336640, while the sum is 63.

The spelling of 414251466628464 in words is "four hundred fourteen trillion, two hundred fifty-one billion, four hundred sixty-six million, six hundred twenty-eight thousand, four hundred sixty-four".